Description
Wiley Wiley'S Mathematics For Jee (Main & Advanced): Trigonometry, Vector Algebra, Probability, Vol 2, 2019Ed by Dr. G S N Murti, Dr. U M Swamy
This book has been written by a pioneer teacher associated with IIT-JEE coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. The topics covered in this book – Trigonometry, Vector Algebra, and Probability – are of utmost importance to engineering students. An additional chapter on Inequalities has been included.
About the Author
Dr. G.S.N. Murti: An eminent mathematician, accomplished author and a dedicated teacher, Dr. G.S.N. Murti brings vast knowledge and experience to teaching the fundamental concepts of pure Mathematics. Dr. Murti has taught Mathematics at degree level for 27 years before moving onto coach prospective IIT-JEE candidates. Over the last 25 years, his name has become synonymous with the best quality IIT-JEE coaching in Mathematics.
Dr. U.M. Swamy: He is an illustrious Mathematician with 40 years of teaching and research experience who served at various levels in the Department of Mathematics at Andhra University and superannuated as Chairman of the Faculty of Science in 2006 from the University. He is acclaimed as a distinguished teacher in the teaching community. Government of Andhra Pradesh felicitated him with the “Best Teacher Award” in 2006.
Table of Contents
Chapter 1: Trigonometric Ratios and Transformations
1.1 Angles and Their Measures
1.2 Trigonometric Ratios
1.3 Periodicity and Variance
1.4 Trigonometric Ratios of Compound Angles
1.5 Trigonometric Ratios of Multiple and Submultiple Angles
1.6 Sum and Product Transformations
Chapter 2: Inverse Trigonometric Functions
2.1 Domains and Ranges of Inverse Trigonometric Functions
2.2 Properties of Inverse Trigonometric Functions
Chapter 3: Trigonometric Equations
3.1 The Least Positive Angles with a Given Trigonometric Ratio
3.2 General Solution of Equations of the Form sin x= a
3.3 Solutions of Simple Trigonometric Equations
Chapter 4: Properties of Triangles
4.1 Relations Between the Sides and the Trigonometric Ratios of Angles of a Triangle
4.2 Solution of Triangles
4.3 Properties of a Triangle
Chapter 5: Addition and Scalar Multiplication of Vectors
5.1 Definition and Classification of Vectors
5.2 Addition of Vectors
5.3 Multiplication of a Vector by a Scalar
5.4 The Division Formula
5.5 Components of a Vector
5.6 Vector Equation of a Line and a Plane
Chapter 6: Multiplication of Vectors
6.1 Scalar or Dot Product
6.2 Vector Equations of a Plane and a Sphere
6.3 Vector or Cross Product
6.4 Vector Areas
6.5 Scalar Triple Product
6.6 Vector Triple Product
Chapter 7: Probability
7.1 Random Experiments and Events
7.2 Classical Definition of Probability
7.3 Axiomatic Approach to Probability
7.4 Independent and Dependent Events
7.5 Random Variables and Probability Distributions
7.6 Theoretical Discrete Distribution
Chapter 8: Inequalities
8.1 Introduction
Index